Question
What should be subtracted from $\frac{5}{9}$ to get $\frac{9}{5} ?$
✓
Answer
Let the first number be $x$
Other number $=\frac{5}{9}$
Difference of two number $=\frac{9}{5}$
According to question,
$ \begin{aligned} & \therefore \frac{5}{9}-\mathrm{x}=\frac{9}{5} \\ & \mathrm{x}=\frac{5}{9}-\frac{9}{5} \\ & \mathrm{x}=\frac{5 \times 5}{9 \times 5}-\frac{9 \times 9}{5 \times 9} \\ & (\because \text { L.C.M. of } 9 \text { and } 5=45) \\ & \mathrm{x}=\frac{25}{45}-\frac{81}{45} \\ & \mathrm{x}=\frac{25-81}{45}=-\frac{56}{45} \end{aligned} $
Other number $=\frac{5}{9}$
Difference of two number $=\frac{9}{5}$
According to question,
$ \begin{aligned} & \therefore \frac{5}{9}-\mathrm{x}=\frac{9}{5} \\ & \mathrm{x}=\frac{5}{9}-\frac{9}{5} \\ & \mathrm{x}=\frac{5 \times 5}{9 \times 5}-\frac{9 \times 9}{5 \times 9} \\ & (\because \text { L.C.M. of } 9 \text { and } 5=45) \\ & \mathrm{x}=\frac{25}{45}-\frac{81}{45} \\ & \mathrm{x}=\frac{25-81}{45}=-\frac{56}{45} \end{aligned} $
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
Solve: $\frac{3 x}{4}+4 x=38$
→In the given figure, lines $P Q, M N$, and RS intersect at $O$. If $x: y=$ $1: 2$ and $z=90^{\circ}$, find $\angle R O M$ and $\angle P O R$.
→In $\triangle A B C, B A$ and $B C$ are produced. Find the angles $a$ and $h$. if $A B=$ BC.
→In the given figure, the directed lines are parallel to each other. Find the unknown angles.
Construct an equilateral Δ ABC such that:
AB = 5 cm. Draw the perpendicular bisectors of BC and AC. Let P be the point of intersection of these two bisectors. Measure PA, PB, and PC.
AB = 5 cm. Draw the perpendicular bisectors of BC and AC. Let P be the point of intersection of these two bisectors. Measure PA, PB, and PC.
The sum of two rational numbers is $\frac{-3}{8}$. If one of them is $\frac{3}{16}$ find the other,
→The length of a rectangular field is 30 m and its diagonal is 34 m. Find the breadth of the field and its perimeter.
The marks (out of 10) obtained by 35 students of a class are given in the following table :
Find the mean and the median.
Using empirical formula, calculate its mode.
Find the mean and the median.
| Marks obtained | 7 | 1 | 10 | 2 | 8 | 6 | 4 | 5 | 9 | 3 |
| Number of students | 7 | 0 | 2 | 0 | 1 | 9 | 6 | 4 | 5 | 1 |
Draw a line segment AB = 8 cm. Mark a point P in AB so that AP = 5 cm. At P, construct angle APQ = 30°.
In the given figure, we have $P Q=S R$ and $P R=S Q$.
Prove that :
(i) $\triangle PQR \cong \triangle SRQ$
(ii) $\angle PQR =\angle SRQ$
→Prove that :
(i) $\triangle PQR \cong \triangle SRQ$
(ii) $\angle PQR =\angle SRQ$